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arXiv:0709.3531 [math.AP]AbstractReferencesReviewsResources

On the Hopf Lemma

YanYan Li, L. Nirenberg

Published 2007-09-21, updated 2007-09-28Version 2

The Hopf Lemma for second order elliptic operators is proved to hold in domains with $C^{1,\alpha}$, and even less regular, boundaries. It need not hold for $C^1$ boundaries. Corresponding results are proved for second order parabolic operators.

Comments: This paper has been withdrawn, since the result had been proved earlier
Categories: math.AP, math.DG
Subjects: 35B50, 35J70, 35K05, 35K20, 35J15, 35J25
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